38:
34:
in the 1980s for a prime with at least 1000 digits (of which the smallest is 10+7), and "gigantic prime" for a prime with at least 10,000 digits (of which the smallest is 10+33603).
1120:
98:
352:
723:
75:
primes are megaprimes, as the number of primes with fewer than one million digits is finite. However, the vast majority of known primes are not megaprimes.
320:
805:
1633:
728:
642:
86:
for each of 8 different bases, is the smallest megaprime. As of 2022, the smallest number known to be a megaprime is 10 + 308267*10 + 1.
345:
1907:
45:
As of 27 July 2024, there are 2,750 known megaprimes which have more than 1,000,000 digits. The first to be found was the
979:
1060:
109:
66:
1942:
1822:
1727:
1722:
1717:
1712:
1707:
1702:
1697:
1692:
338:
1827:
1757:
1182:
840:
1817:
1207:
1626:
673:
62:
1772:
1917:
1115:
104:
1902:
1767:
315:"Sequence A340902 (Distance from the largest prime with less than 10^n decimal digits to 10^(10^n-1))"
1980:
2006:
748:
2001:
1975:
1870:
1619:
1265:
394:
1937:
1927:
1865:
1602:
1192:
845:
753:
54:
285:
1172:
1812:
1167:
825:
1860:
1275:
1212:
1202:
1187:
820:
678:
1762:
1752:
599:
1244:
1219:
1197:
1177:
800:
772:
465:
1782:
1732:
1154:
1144:
1139:
1076:
923:
790:
693:
79:
50:
1922:
855:
815:
698:
663:
627:
582:
435:
423:
37:
1952:
1843:
1777:
1742:
1260:
1234:
1131:
999:
850:
810:
795:
667:
558:
523:
478:
403:
385:
197:
162:
83:
46:
1995:
1912:
1687:
1667:
1642:
1270:
1035:
899:
872:
708:
573:
511:
502:
487:
450:
376:
180:
1947:
1591:
1586:
1581:
1576:
1571:
1566:
1561:
1556:
1551:
1546:
1541:
1536:
1531:
1526:
1521:
1516:
1511:
1506:
1501:
1496:
1491:
1486:
1481:
1476:
1471:
1466:
1461:
1456:
1451:
1446:
1441:
1436:
1431:
1426:
1421:
1224:
947:
830:
713:
703:
688:
683:
647:
361:
145:
31:
24:
1957:
1897:
1416:
1411:
1406:
1401:
1396:
1391:
1386:
1381:
1376:
1371:
1366:
1361:
1356:
1351:
1346:
1341:
1336:
1331:
1326:
1321:
1316:
1162:
835:
743:
738:
718:
632:
535:
411:
310:
227:
128:
297:
273:
1962:
1747:
1239:
1055:
963:
883:
733:
637:
184:
149:
132:
72:
243:
1853:
1848:
1682:
1280:
1229:
286:
Henri
Lifchitz & Renaud Lifchitz, Probable Primes search for 10^999999-a
258:
101:, a list that includes the largest known megaprimes and probable megaprimes
1787:
89:
The last prime that is not a megaprime is almost certainly 10 - 172473.
1677:
782:
330:
215:
1932:
1737:
1672:
777:
763:
239:
58:
1611:
30:
Other terms for large primes include "titanic prime", coined by
1615:
334:
298:
Patrick De Geest, Border
Probable Primes around 'Powers of Ten'
228:
Henri
Lifchitz & Renaud Lifchitz, Probable Primes Top 10000
1662:
314:
82:, and there is a very high probability that 10 + 593499, a
1311:
1306:
1301:
1296:
78:
All numbers from 10 through 10 + 593498 are known to be
1883:
1836:
1805:
1796:
1649:
1289:
1253:
1153:
1130:
1104:
871:
864:
762:
656:
620:
369:
49:2−1 with 2,098,960 digits, discovered in 1999 by
993: = 0, 1, 2, 3, ...
260:The Largest Known Prime by Year: A Brief History
99:List of largest known primes and probable primes
41:Number of megaprimes found by year through 2023
1627:
346:
16:Prime number with at least one million digits
8:
110:Electronic Frontier Foundation § Awards
263:at The PrimePages. Retrieved on 2008-09-28.
27:with at least one million decimal digits.
1802:
1634:
1620:
1612:
868:
353:
339:
331:
321:On-Line Encyclopedia of Integer Sequences
36:
120:
245:GIMPS Finds First Million-Digit Prime
7:
181:The Prime Glossary: gigantic prime
14:
1908:Indefinite and fictitious numbers
146:The Prime Glossary: titanic prime
729:Supersingular (moonshine theory)
724:Supersingular (elliptic curve)
67:Electronic Frontier Foundation
1:
1823:Conway chained arrow notation
505:2 ± 2 ± 1
129:The Prime Glossary: megaprime
63:Cooperative Computing Award
2023:
1918:Largest known prime number
311:Sloane, N. J. A.
248:. Retrieved on 2008-01-04.
187:. Retrieved on 2022-06-21.
152:. Retrieved on 2022-06-21.
135:. Retrieved on 2008-01-04.
105:Largest known prime number
1971:
1903:Extended real number line
1818:Knuth's up-arrow notation
1600:
1828:Steinhaus–Moser notation
1111:Mega (1,000,000+ digits)
980:Arithmetic progression (
216:The Largest Known Primes
53:, a participant in the
1871:Fast-growing hierarchy
1266:Industrial-grade prime
643:Newman–Shanks–Williams
69:for this achievement.
61:. Nayan was awarded a
42:
1928:Long and short scales
1866:Grzegorczyk hierarchy
1603:List of prime numbers
1061:Sophie Germain/Safe (
84:strong probable prime
55:distributed computing
40:
785:(10 − 1)/9
300:, worldofnumbers.com
1943:Orders of magnitude
1813:Scientific notation
1094: ± 7, ...
621:By integer sequence
406:(2 + 1)/3
1861:Ackermann function
1276:Formula for primes
909: + 2 or
841:Smarandache–Wellin
324:. OEIS Foundation.
288:, primenumbers.net
276:, World!Of Numbers
272:Patrick De Geest,
230:, primenumbers.net
218:at The PrimePages.
43:
1989:
1988:
1879:
1878:
1609:
1608:
1220:Carmichael number
1155:Composite numbers
1090: ± 3, 8
1086: ± 1, 4
1049: ± 1, …
1045: ± 1, 4
1041: ± 1, 2
1031:
1030:
576:3·2 − 1
481:2·3 + 1
395:Double Mersenne (
2014:
1803:
1733:Eddington number
1678:Hundred thousand
1636:
1629:
1622:
1613:
1140:Eisenstein prime
1095:
1071:
1050:
1022:
994:
974:
958:
942:
937: + 6,
933: + 2,
918:
913: + 4,
894:
869:
786:
749:Highly cototient
611:
610:
604:
594:
577:
568:
553:
530:
529:·2 − 1
518:
517:·2 + 1
506:
497:
482:
473:
460:
445:
430:
418:
417:·2 + 1
407:
398:
389:
380:
355:
348:
341:
332:
326:
325:
307:
301:
295:
289:
283:
277:
270:
264:
257:Chris Caldwell,
255:
249:
237:
231:
225:
219:
214:Chris Caldwell,
212:
206:
205:
194:
188:
179:Chris Caldwell,
177:
171:
170:
159:
153:
144:Chris Caldwell,
142:
136:
127:Chris Caldwell,
125:
51:Nayan Hajratwala
2022:
2021:
2017:
2016:
2015:
2013:
2012:
2011:
1992:
1991:
1990:
1985:
1967:
1923:List of numbers
1891:
1889:
1887:
1885:
1875:
1832:
1798:
1792:
1763:Graham's number
1753:Skewes's number
1655:
1653:
1651:
1645:
1640:
1610:
1605:
1596:
1290:First 60 primes
1285:
1249:
1149:
1132:Complex numbers
1126:
1100:
1078:
1062:
1037:
1036:Bi-twin chain (
1027:
1001:
981:
965:
949:
925:
901:
885:
860:
846:Strobogrammatic
784:
758:
652:
616:
608:
602:
601:
584:
575:
560:
537:
525:
513:
504:
489:
480:
467:
459:# + 1
457:
452:
444:# ± 1
442:
437:
429:! ± 1
425:
413:
405:
397:2 − 1
396:
388:2 − 1
387:
379:2 + 1
378:
365:
359:
329:
309:
308:
304:
296:
292:
284:
280:
271:
267:
256:
252:
242:press release,
238:
234:
226:
222:
213:
209:
196:
195:
191:
178:
174:
161:
160:
156:
143:
139:
126:
122:
118:
95:
17:
12:
11:
5:
2020:
2018:
2010:
2009:
2007:Large integers
2004:
1994:
1993:
1987:
1986:
1984:
1983:
1978:
1972:
1969:
1968:
1966:
1965:
1960:
1955:
1953:Power of three
1950:
1945:
1940:
1935:
1933:Number systems
1930:
1925:
1920:
1915:
1910:
1905:
1900:
1894:
1892:
1888:(alphabetical
1881:
1880:
1877:
1876:
1874:
1873:
1868:
1863:
1858:
1857:
1856:
1851:
1844:Hyperoperation
1840:
1838:
1834:
1833:
1831:
1830:
1825:
1820:
1815:
1809:
1807:
1800:
1794:
1793:
1791:
1790:
1785:
1780:
1775:
1770:
1765:
1760:
1758:Moser's number
1755:
1750:
1745:
1743:Shannon number
1740:
1735:
1730:
1725:
1720:
1715:
1710:
1705:
1700:
1695:
1690:
1685:
1680:
1675:
1670:
1665:
1659:
1657:
1647:
1646:
1641:
1639:
1638:
1631:
1624:
1616:
1607:
1606:
1601:
1598:
1597:
1595:
1594:
1589:
1584:
1579:
1574:
1569:
1564:
1559:
1554:
1549:
1544:
1539:
1534:
1529:
1524:
1519:
1514:
1509:
1504:
1499:
1494:
1489:
1484:
1479:
1474:
1469:
1464:
1459:
1454:
1449:
1444:
1439:
1434:
1429:
1424:
1419:
1414:
1409:
1404:
1399:
1394:
1389:
1384:
1379:
1374:
1369:
1364:
1359:
1354:
1349:
1344:
1339:
1334:
1329:
1324:
1319:
1314:
1309:
1304:
1299:
1293:
1291:
1287:
1286:
1284:
1283:
1278:
1273:
1268:
1263:
1261:Probable prime
1257:
1255:
1254:Related topics
1251:
1250:
1248:
1247:
1242:
1237:
1235:Sphenic number
1232:
1227:
1222:
1217:
1216:
1215:
1210:
1205:
1200:
1195:
1190:
1185:
1180:
1175:
1170:
1159:
1157:
1151:
1150:
1148:
1147:
1145:Gaussian prime
1142:
1136:
1134:
1128:
1127:
1125:
1124:
1123:
1113:
1108:
1106:
1102:
1101:
1099:
1098:
1074:
1070: + 1
1058:
1053:
1032:
1029:
1028:
1026:
1025:
997:
977:
973: + 6
961:
957: + 4
945:
941: + 8
921:
917: + 6
897:
893: + 2
880:
878:
866:
862:
861:
859:
858:
853:
848:
843:
838:
833:
828:
823:
818:
813:
808:
803:
798:
793:
788:
780:
775:
769:
767:
760:
759:
757:
756:
751:
746:
741:
736:
731:
726:
721:
716:
711:
706:
701:
696:
691:
686:
681:
676:
671:
660:
658:
654:
653:
651:
650:
645:
640:
635:
630:
624:
622:
618:
617:
615:
614:
597:
593: − 1
580:
571:
556:
533:
521:
509:
500:
485:
476:
472: + 1
463:
455:
448:
440:
433:
421:
409:
401:
392:
383:
373:
371:
367:
366:
360:
358:
357:
350:
343:
335:
328:
327:
302:
290:
278:
265:
250:
232:
220:
207:
198:"factordb.com"
189:
172:
163:"factordb.com"
154:
137:
119:
117:
114:
113:
112:
107:
102:
94:
91:
47:Mersenne prime
15:
13:
10:
9:
6:
4:
3:
2:
2019:
2008:
2005:
2003:
2002:Prime numbers
2000:
1999:
1997:
1982:
1979:
1977:
1974:
1973:
1970:
1964:
1961:
1959:
1956:
1954:
1951:
1949:
1946:
1944:
1941:
1939:
1936:
1934:
1931:
1929:
1926:
1924:
1921:
1919:
1916:
1914:
1913:Infinitesimal
1911:
1909:
1906:
1904:
1901:
1899:
1896:
1895:
1893:
1882:
1872:
1869:
1867:
1864:
1862:
1859:
1855:
1852:
1850:
1847:
1846:
1845:
1842:
1841:
1839:
1835:
1829:
1826:
1824:
1821:
1819:
1816:
1814:
1811:
1810:
1808:
1804:
1801:
1795:
1789:
1786:
1784:
1783:Rayo's number
1781:
1779:
1776:
1774:
1771:
1769:
1766:
1764:
1761:
1759:
1756:
1754:
1751:
1749:
1746:
1744:
1741:
1739:
1736:
1734:
1731:
1729:
1726:
1724:
1721:
1719:
1716:
1714:
1711:
1709:
1706:
1704:
1701:
1699:
1696:
1694:
1691:
1689:
1686:
1684:
1681:
1679:
1676:
1674:
1671:
1669:
1666:
1664:
1661:
1660:
1658:
1648:
1644:
1643:Large numbers
1637:
1632:
1630:
1625:
1623:
1618:
1617:
1614:
1604:
1599:
1593:
1590:
1588:
1585:
1583:
1580:
1578:
1575:
1573:
1570:
1568:
1565:
1563:
1560:
1558:
1555:
1553:
1550:
1548:
1545:
1543:
1540:
1538:
1535:
1533:
1530:
1528:
1525:
1523:
1520:
1518:
1515:
1513:
1510:
1508:
1505:
1503:
1500:
1498:
1495:
1493:
1490:
1488:
1485:
1483:
1480:
1478:
1475:
1473:
1470:
1468:
1465:
1463:
1460:
1458:
1455:
1453:
1450:
1448:
1445:
1443:
1440:
1438:
1435:
1433:
1430:
1428:
1425:
1423:
1420:
1418:
1415:
1413:
1410:
1408:
1405:
1403:
1400:
1398:
1395:
1393:
1390:
1388:
1385:
1383:
1380:
1378:
1375:
1373:
1370:
1368:
1365:
1363:
1360:
1358:
1355:
1353:
1350:
1348:
1345:
1343:
1340:
1338:
1335:
1333:
1330:
1328:
1325:
1323:
1320:
1318:
1315:
1313:
1310:
1308:
1305:
1303:
1300:
1298:
1295:
1294:
1292:
1288:
1282:
1279:
1277:
1274:
1272:
1271:Illegal prime
1269:
1267:
1264:
1262:
1259:
1258:
1256:
1252:
1246:
1243:
1241:
1238:
1236:
1233:
1231:
1228:
1226:
1223:
1221:
1218:
1214:
1211:
1209:
1206:
1204:
1201:
1199:
1196:
1194:
1191:
1189:
1186:
1184:
1181:
1179:
1176:
1174:
1171:
1169:
1166:
1165:
1164:
1161:
1160:
1158:
1156:
1152:
1146:
1143:
1141:
1138:
1137:
1135:
1133:
1129:
1122:
1119:
1118:
1117:
1116:Largest known
1114:
1112:
1109:
1107:
1103:
1097:
1093:
1089:
1085:
1081:
1075:
1073:
1069:
1065:
1059:
1057:
1054:
1052:
1048:
1044:
1040:
1034:
1033:
1024:
1021:
1018: +
1017:
1013:
1009:
1006: −
1005:
998:
996:
992:
988:
985: +
984:
978:
976:
972:
968:
962:
960:
956:
952:
946:
944:
940:
936:
932:
928:
922:
920:
916:
912:
908:
904:
898:
896:
892:
888:
882:
881:
879:
877:
875:
870:
867:
863:
857:
854:
852:
849:
847:
844:
842:
839:
837:
834:
832:
829:
827:
824:
822:
819:
817:
814:
812:
809:
807:
804:
802:
799:
797:
794:
792:
789:
787:
781:
779:
776:
774:
771:
770:
768:
765:
761:
755:
752:
750:
747:
745:
742:
740:
737:
735:
732:
730:
727:
725:
722:
720:
717:
715:
712:
710:
707:
705:
702:
700:
697:
695:
692:
690:
687:
685:
682:
680:
677:
675:
672:
669:
665:
662:
661:
659:
655:
649:
646:
644:
641:
639:
636:
634:
631:
629:
626:
625:
623:
619:
613:
607:
598:
596:
592:
588:
581:
579:
572:
570:
567:
564: +
563:
557:
555:
552:
549: −
548:
544:
541: −
540:
534:
532:
528:
522:
520:
516:
510:
508:
501:
499:
496:
493: +
492:
486:
484:
477:
475:
471:
466:Pythagorean (
464:
462:
458:
449:
447:
443:
434:
432:
428:
422:
420:
416:
410:
408:
402:
400:
393:
391:
384:
382:
375:
374:
372:
368:
363:
356:
351:
349:
344:
342:
337:
336:
333:
323:
322:
316:
312:
306:
303:
299:
294:
291:
287:
282:
279:
275:
274:10^999999 + y
269:
266:
262:
261:
254:
251:
247:
246:
241:
236:
233:
229:
224:
221:
217:
211:
208:
203:
199:
193:
190:
186:
182:
176:
173:
168:
164:
158:
155:
151:
147:
141:
138:
134:
130:
124:
121:
115:
111:
108:
106:
103:
100:
97:
96:
92:
90:
87:
85:
81:
76:
74:
70:
68:
64:
60:
56:
52:
48:
39:
35:
33:
28:
26:
22:
1948:Power of two
1938:Number names
1673:Ten thousand
1225:Almost prime
1183:Euler–Jacobi
1110:
1091:
1087:
1083:
1079:
1077:Cunningham (
1067:
1063:
1046:
1042:
1038:
1019:
1015:
1011:
1007:
1003:
1002:consecutive
990:
986:
982:
970:
966:
954:
950:
938:
934:
930:
926:
924:Quadruplet (
914:
910:
906:
902:
890:
886:
873:
821:Full reptend
679:Wolstenholme
674:Wall–Sun–Sun
605:
590:
586:
565:
561:
550:
546:
542:
538:
526:
514:
494:
490:
469:
453:
438:
426:
414:
362:Prime number
318:
305:
293:
281:
268:
259:
253:
244:
235:
223:
210:
202:factordb.com
201:
192:
175:
167:factordb.com
166:
157:
140:
123:
88:
77:
71:
44:
32:Samuel Yates
29:
25:prime number
20:
18:
1958:Power of 10
1898:Busy beaver
1703:Quintillion
1698:Quadrillion
1208:Somer–Lucas
1163:Pseudoprime
801:Truncatable
773:Palindromic
657:By property
436:Primorial (
424:Factorial (
1996:Categories
1963:Sagan Unit
1797:Expression
1748:Googolplex
1713:Septillion
1708:Sextillion
1654:numerical
1245:Pernicious
1240:Interprime
1000:Balanced (
791:Permutable
766:-dependent
583:Williams (
479:Pierpont (
404:Wagstaff
386:Mersenne (
370:By formula
185:PrimePages
150:PrimePages
133:PrimePages
116:References
73:Almost all
1854:Pentation
1849:Tetration
1837:Operators
1806:Notations
1728:Decillion
1723:Nonillion
1718:Octillion
1650:Examples
1281:Prime gap
1230:Semiprime
1193:Frobenius
900:Triplet (
699:Ramanujan
694:Fortunate
664:Wieferich
628:Fibonacci
559:Leyland (
524:Woodall (
503:Solinas (
488:Quartan (
80:composite
65:from the
21:megaprime
1886:articles
1884:Related
1788:Infinity
1693:Trillion
1668:Thousand
1173:Elliptic
948:Cousin (
865:Patterns
856:Tetradic
851:Dihedral
816:Primeval
811:Delicate
796:Circular
783:Repunit
574:Thabit (
512:Cullen (
451:Euclid (
377:Fermat (
93:See also
57:project
1981:History
1799:methods
1773:SSCG(3)
1768:TREE(3)
1688:Billion
1683:Million
1663:Hundred
1168:Catalan
1105:By size
876:-tuples
806:Minimal
709:Regular
600:Mills (
536:Cuban (
412:Proth (
364:classes
313:(ed.).
183:at The
148:at The
131:at The
1890:order)
1738:Googol
1213:Strong
1203:Perrin
1188:Fermat
964:Sexy (
884:Twin (
826:Unique
754:Unique
714:Strong
704:Pillai
684:Wilson
648:Perrin
1976:Names
1778:BH(3)
1656:order
1198:Lucas
1178:Euler
831:Happy
778:Emirp
744:Higgs
739:Super
719:Stern
689:Lucky
633:Lucas
240:GIMPS
59:GIMPS
23:is a
1121:list
1056:Chen
836:Self
764:Base
734:Good
668:pair
638:Pell
589:−1)·
319:The
1592:281
1587:277
1582:271
1577:269
1572:263
1567:257
1562:251
1557:241
1552:239
1547:233
1542:229
1537:227
1532:223
1527:211
1522:199
1517:197
1512:193
1507:191
1502:181
1497:179
1492:173
1487:167
1482:163
1477:157
1472:151
1467:149
1462:139
1457:137
1452:131
1447:127
1442:113
1437:109
1432:107
1427:103
1422:101
1082:, 2
1066:, 2
987:a·n
545:)/(
1998::
1652:in
1417:97
1412:89
1407:83
1402:79
1397:73
1392:71
1387:67
1382:61
1377:59
1372:53
1367:47
1362:43
1357:41
1352:37
1347:31
1342:29
1337:23
1332:19
1327:17
1322:13
1317:11
1014:,
1010:,
989:,
969:,
953:,
929:,
905:,
889:,
317:.
200:.
165:.
19:A
1635:e
1628:t
1621:v
1312:7
1307:5
1302:3
1297:2
1096:)
1092:p
1088:p
1084:p
1080:p
1072:)
1068:p
1064:p
1051:)
1047:n
1043:n
1039:n
1023:)
1020:n
1016:p
1012:p
1008:n
1004:p
995:)
991:n
983:p
975:)
971:p
967:p
959:)
955:p
951:p
943:)
939:p
935:p
931:p
927:p
919:)
915:p
911:p
907:p
903:p
895:)
891:p
887:p
874:k
670:)
666:(
612:)
609:⌋
606:A
603:⌊
595:)
591:b
587:b
585:(
578:)
569:)
566:y
562:x
554:)
551:y
547:x
543:y
539:x
531:)
527:n
519:)
515:n
507:)
498:)
495:y
491:x
483:)
474:)
470:n
468:4
461:)
456:n
454:p
446:)
441:n
439:p
431:)
427:n
419:)
415:k
399:)
390:)
381:)
354:e
347:t
340:v
204:.
169:.
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